59340 ÷ 9 = 6593 R3
Alright, let's work through the division of 59340 by 9 step by step.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 2:
9 goes into 59 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 59 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 9

Step 3:
9 goes into 53 5 times with a remainder of 8.
Write down 5 as next digit of of the result. 
Result so far: 65
Subtract 45 from 53 to get 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 9

Step 4:
9 goes into 84 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 659
Subtract 81 from 84 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 9

Step 5:
9 goes into 30 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 6593
Subtract 27 from 30 to get 3.

The final result is 6593 with a remainder of 3.